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Finding the Fourth Proportional to 527.75, 792.47 and 412.47

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Solution

The fourth proportional to 527.75, 792.47 and 412.47 is: 619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 792.47 = 412.47 : x
  2. Step 2: Convert to fraction form
    527.75/792.47 = 412.47/x
  3. Step 3: Cross multiply
    527.75x = 792.47 × 412.47
  4. Step 4: Simplify right side
    527.75x = 326,868.04
  5. Step 5: Solve for x
    x = 326,868.04/527.75
  6. Step 6: Final answer
    x = 619.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.